OFFSET
0,2
FORMULA
D-finite with recurrence: n*a(n) +2*(-2*n+17)*a(n-1)=0. - R. J. Mathar, Jan 17 2020
From Amiram Eldar, Mar 25 2022: (Start)
a(n) = (-4)^n*binomial(15/2, n).
Sum_{n>=0} 1/a(n) = 972/1001 + 34*Pi/(3^10*sqrt(3)).
Sum_{n>=0} (-1)^n/a(n) = 18235778692/17595703125 - 68*log(phi)/(5^9*sqrt(5)), where phi is the golden ratio (A001622). (End)
MATHEMATICA
CoefficientList[Series[(1-4x)^(15/2), {x, 0, 30}], x] (* Harvey P. Dale, Oct 03 2012 *)
CROSSREFS
KEYWORD
sign
AUTHOR
STATUS
approved